Given two parallel lines cut by a transversal, if one of the alternate exterior
Practice Questions
Q1
Given two parallel lines cut by a transversal, if one of the alternate exterior angles is 120 degrees, what is the measure of the other alternate exterior angle?
60 degrees
120 degrees
90 degrees
180 degrees
Questions & Step-by-Step Solutions
Given two parallel lines cut by a transversal, if one of the alternate exterior angles is 120 degrees, what is the measure of the other alternate exterior angle?
Step 1: Identify the two parallel lines and the transversal that cuts through them.
Step 2: Locate the alternate exterior angles formed by the transversal and the parallel lines.
Step 3: Note that alternate exterior angles are equal when two parallel lines are cut by a transversal.
Step 4: Since one of the alternate exterior angles is given as 120 degrees, the other alternate exterior angle must also be 120 degrees.
Alternate Exterior Angles – When two parallel lines are cut by a transversal, the alternate exterior angles are equal.